Moduli Spaces and Related Topics | On the moduli space of certain plane sextic curves

Time：Wed., 14:00-15:00, Mar. 13. 2024

Venue：C654, Shuangqing Complex Building A 清华大学双清综合楼A座 C654

Organizer：Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

Speaker：YiMing Zhong (BICMR)

Abstract:

We study moduli spaces of certain sextic curves with a singularity of multiplicity 3 from both perspectives of Deligne–Mostow theory and periods of K3 surfaces. In both ways we can describe the moduli spaces via arithmetic quotients of complex hyperbolic balls. We show that the two ball-quotient constructions can be uniﬁed in a geometric way. This is a joint work with Zhiwei Zheng.

DATEMarch 13, 2024

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